Greatest Common Factor of 986/65, 769/50, 972/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/65, 769/50, 972/80

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 986/65,769/50,972/80

Given fractions are 986/65,769/50,972/80

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 986,769,972

Greatest Common Factor of Numerators i.e. GCF of 986,769,972 is 1 .

LCM of Denominators means LCM of 65,50,80 as per the given fractions.

LCM of 65,50,80 is 5200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,769,972

GCF of Fractions 986/65,769/50,972/80 is 1/5200

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 986,769,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,769,972 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 986,769,972 . The biggest common factor number is the GCF number.
So the greatest common factor 986,769,972 is 1.

Lets's calculate LCM of 65,50,80

2 65, 50, 80
5 65, 25, 40
13, 5, 8

∴ So the LCM of the given numbers is 2 x 5 x 13 x 5 x 8 = 5200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5200

Therefore, the GCF of Fractions 986/65,769/50,972/80 is 1/5200

Least Common Multiple of 65,50,80 with GCF Formula

Least Common Multiple of 65,50,80 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,50,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,50,80) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(65,50,80) x common factors =5 x 10 = 50

LCM(65,50,80) = ( 65 × 50 × 80 ) / 50

LCM(65,50,80) = 260000 / 50

LCM(65,50,80) = 5200


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 986/65, 769/50, 972/80

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 986/65, 769/50, 972/80?

Answer: GCF of Numerators as per given numbers 986/65, 769/50, 972/80 is

GCF of Numerators i.e. for 986,769,972 is 1

LCM of denominators i.e. for 65,50,80 is 5200.

Thus, GCF of Fractions is 1/5200.Finally, GCF of Fractions for 986/65, 769/50, 972/80 is 1/5200.